Fundamentals of Statistics (5th Edition)
5th Edition
ISBN: 9780134508306
Author: Michael Sullivan III
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Videos
Textbook Question
Chapter 12.3, Problem 19AYU
CEO Performance (Refer to Problem 31 in Section 4.1) The following data represent the total compensation for 12 randomly selected chief executive officers (CEOs) and the company’s stock performance in 2013.
| Company | Compensation (millions of dollars) | Stock Return (%) |
| Navistar International | 14.53 | 75.43 |
| Aviv REIT | 4.09 | 64.01 |
| Groupon | 7.11 | 142.07 |
| Inland Real Estate | 1.05 | 32.72 |
| Equity Lifestyles Properties | 1.97 | 10.64 |
| Tootsie Roll Industries | 3.76 | 30.66 |
| Catamaran | 12.06 | 0.77 |
| Packaging Corp of America | 7.62 | 69.39 |
| Brunswick | 8.47 | 58.69 |
| LKQ | 4.04 | 55.93 |
| Abbott Laboratories | 20.87 | 24.28 |
| TreeHouse Foods | 6.63 | 32.21 |
Source: Data from Chicago Tribune, June 1, 2014
- a. Treating compensation as the explanatory variable, x, determine the estimates of β0 and β1.
- b. Assuming the residuals are
normally distributed , test whether a linear relation exists between compensation and stock return at the α = 0.05 level of significance. - c. Assuming the residuals are normally distributed, construct a 95% confidence interval for the slope of the true least-squares regression line.
- d. Based on your results to parts (b) and (c), would you recommend using the least-squares regression line to predict the stock return of a company based on the CEO’s compensation? Why? What would be a good estimate of the stock return based on the data in the table?
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
A sample of 20 financial analysts was asked to provide forecasts of earnings per share of a corporation for next year. The results are summarized in the following table:Forecast ($ per share) Number of Analysts$9.95 to under $10.45 2$10.45 to under $10.95 8$10.95 to under $11.45 6$11.45 to under $11.95 3$11.95 to under $12.45 1a. Estimate the sample mean forecast.b. Estimate the sample standard deviation.
6. The Computer Security Institute (CSI) conducts an annual survey of computer crime at
U.S. businesses. CSI sends survey questionnaires to computer security personnel at all
U.S. corporations and government agencies. The 2010 CSI survey was sent and 351
organizations responded. One of the survey questions asked respondents to indicate the
percentage of monetary losses attributable to malicious actions by individuals within the
organization (i.e., malicious insider actions). The following table summarizes the data for
the 144 firms who experienced some monetary loss due to malicious insider actions.
Lower
Bound
0
10
20
30
40
50
60
70
80
90
Sum
Upper
Bound
10
20
30
40
50
60
70
80
90
100
Cell
Midpoint
5
15
25
35
45
55
65
75
85
95
Frequency
43
55
16
3
2
1
9
4
5
6
144
a. Find the mean percentage loss for the sample of firms who reported some loss.
b. Find the median, upper and lower quartiles.
c. Draw the box plot.
d. Would you describe this distribution as symmetric or skewed? Justify.
e.…
3. Suppose that the Dow Jones Industrial Average went up 149.82 points. The following table
shows the stock price changes for a sample of 12 companies on that day.
Price Change
Price Change
Company
Company
John & John.
Aflac
Bank of America
0.81
0.05
1.46
0.92
Loews Cp
Nokia
0.21
0.97
Cablevision
0.41
Diageo
Flour Cp
1.32
2.37
SmpraEngy
Sunoco
| Tyson Food
0.52
Goodrich
0.4
0.22
Provide 95% confidence interval estimates of the population variance and the population standard
deviation
Chapter 12 Solutions
Fundamentals of Statistics (5th Edition)
Ch. 12.1 - True or False: The shape of the chi-square...Ch. 12.1 - A _____ test is an inferential procedure used to...Ch. 12.1 - Suppose there are n independent trials of an...Ch. 12.1 - What are the two requirements that must be...Ch. 12.1 - In Problems 5 and 6, determine the expected counts...Ch. 12.1 - In Problems 5 and 6, determine the expected counts...Ch. 12.1 - Prob. 7AYUCh. 12.1 - Prob. 8AYUCh. 12.1 - In Problems 710, determine (a) the 2 test...Ch. 12.1 - In Problems 710, determine (a) the 2 test...
Ch. 12.1 - Applying the Concepts 11. NW Plain MMs According...Ch. 12.1 - Peanut MMs According to the manufacturer of MMs,...Ch. 12.1 - Prob. 13AYUCh. 12.1 - Prob. 14AYUCh. 12.1 - Always Wear a Helmet The National Highway Traffic...Ch. 12.1 - Religion in Congress Is the religious make-up of...Ch. 12.1 - Does It Matter Where I Sit? Does the location of...Ch. 12.1 - Racial Profiling On January 1, 2004, it became...Ch. 12.1 - Prob. 19AYUCh. 12.1 - Prob. 20AYUCh. 12.1 - Prob. 21AYUCh. 12.1 - Is the Die Loaded? A player in a craps game...Ch. 12.1 - Grade Distributions At Joliet Junior College, the...Ch. 12.1 - Population Shift An urban economist wonders if the...Ch. 12.1 - Prob. 25AYUCh. 12.1 - Living Alone? In 2000, 25.8% of Americans 15 years...Ch. 12.1 - Putting It Together: The V-2 Rocket in London In...Ch. 12.1 - Putting It Together: Weldons Dice On February 2,...Ch. 12.1 - Buying a New Car How much does the typical person...Ch. 12.1 - Why is goodness of fit a good choice for the title...Ch. 12.1 - Explain why chi-square goodness-of-fit tests are...Ch. 12.1 - Prob. 32AYUCh. 12.2 - True or False: The expected frequencies in a...Ch. 12.2 - In a chi-square test for ____ of proportions, we...Ch. 12.2 - The following table contains observed values and...Ch. 12.2 - The table in the next column contains observed...Ch. 12.2 - Prob. 5AYUCh. 12.2 - Prob. 6AYUCh. 12.2 - NW Family Structure and Sexual Activity A...Ch. 12.2 - Prenatal Care An obstetrician wants to learn...Ch. 12.2 - Health and Happiness Are health and happiness...Ch. 12.2 - Health and Education Does amount of education play...Ch. 12.2 - Social Well-Being and Obesity The Gallup...Ch. 12.2 - Profile of Smokers The following data represent...Ch. 12.2 - Efficacy of e-Cigs Do electronic cigarettes assist...Ch. 12.2 - Celebrex Celebrex, a drug manufactured by Pfizer,...Ch. 12.2 - NW Whats in a Word? In a recent survey conducted...Ch. 12.2 - Whats in a Word? Part II In a recent survey...Ch. 12.2 - Dropping a Course A survey was conducted at a...Ch. 12.2 - Prob. 18AYUCh. 12.2 - Prob. 19AYUCh. 12.2 - Prob. 20AYUCh. 12.2 - Putting It Together: Women, Aspirin, and Heart...Ch. 12.2 - Homeruns Go to...Ch. 12.2 - Explain the differences between the chi-square...Ch. 12.2 - Why does the test for homogeneity follow the same...Ch. 12.3 - Suppose a least-squares regression line is given...Ch. 12.3 - Prob. 2AYUCh. 12.3 - Prob. 3AYUCh. 12.3 - Prob. 4AYUCh. 12.3 - Prob. 5AYUCh. 12.3 - Prob. 6AYUCh. 12.3 - Prob. 7AYUCh. 12.3 - Prob. 8AYUCh. 12.3 - Prob. 9AYUCh. 12.3 - Prob. 10AYUCh. 12.3 - An Unhealthy Commute The following data represent...Ch. 12.3 - Credit Scores An economist wants to determine the...Ch. 12.3 - Height versus Head Circumference A pediatrician...Ch. 12.3 - Hurricanes The data in the next column represent...Ch. 12.3 - Concrete As concrete cures, it gains strength. The...Ch. 12.3 - Tar and Nicotine Every year the Federal Trade...Ch. 12.3 - Invest in Education Go to...Ch. 12.3 - American Black Bears In 1969, Dr. Michael R....Ch. 12.3 - CEO Performance (Refer to Problem 31 in Section...Ch. 12.3 - Bear Markets (Refer to Problem 32. Section 4.1) A...Ch. 12.3 - Age versus HDL Cholesterol A doctor wanted to...Ch. 12.3 - Prob. 22AYUCh. 12.3 - Influential Observations Zillow.com is a site that...Ch. 12.3 - Why is it important to perform graphical as well...Ch. 12.3 - Prob. 25AYUCh. 12.3 - Why is it desirable to have the explanatory...Ch. 12.4 - Intervals constructed about the predicted value of...Ch. 12.4 - Prob. 2AYUCh. 12.4 - Prob. 3AYUCh. 12.4 - Using the sample data from Problem 6 in Section...Ch. 12.4 - Prob. 5AYUCh. 12.4 - Prob. 6AYUCh. 12.4 - Prob. 7AYUCh. 12.4 - Prob. 8AYUCh. 12.4 - Prob. 9AYUCh. 12.4 - Prob. 10AYUCh. 12.4 - Prob. 11AYUCh. 12.4 - Tar and Nicotine Use the results of Problem 16 in...Ch. 12.4 - Prob. 13AYUCh. 12.4 - Prob. 14AYUCh. 12.4 - CEO Performance Use the results of Problem 19 from...Ch. 12.4 - Prob. 16AYUCh. 12.4 - Prob. 17AYUCh. 12 - Roulette Wheel A pit boss suspects that a roulette...Ch. 12 - Prob. 2RECh. 12 - Titanic With 20% of men, 74% of women, and 52% of...Ch. 12 - Prob. 4RECh. 12 - Prob. 5RECh. 12 - Prob. 6RECh. 12 - Seat Choice and GPA A biology professor wants to...Ch. 12 - Apartments The following data represent the square...Ch. 12 - Calories versus Sugar The following data represent...Ch. 12 - A pit boss is concerned that a pair of dice being...Ch. 12 - Prob. 2CTCh. 12 - The Harris Poll asked a random sample of adult...Ch. 12 - Prob. 4CTCh. 12 - Prob. 5CTCh. 12 - Prob. 6CTCh. 12 - Crickets make a chirping noise by sliding their...Ch. 12 - The following data represent the height (inches)...Ch. 12 - A researcher believes that as age increases, the...Ch. 12 - CASE STUDY Feeling Lucky? Well, Are You? In fiscal...
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.Similar questions
- The selling prices of mutual funds change daily. In order to study these changes, a sample of mutual funds was examined and the daily changes in price are listed below. (Round answers to 3 decimal places) 0.32, -0.17, 0.26, -0.03, -0.01, 0.18, 0.33, 0.28, 0.02, -0.29, -0.08, 0.12, 0.07, 0.03, 0.28 a) Using a calculator find Q1, Q3, median and IQR b) Determine the lower and upper fences. (Show work) c) Identify the outliers (if any) in this setarrow_forwardTen annual returns are listed in the following table: (Click on the following icon o in order to copy its contents into a spreadsheet.) - 19.3% 16.9% 18.5% - 49.9% 43.1% 1.9% - 16.9% 46.3% 45.3% - 3.2% a. What is the arithmetic average return over the 10-year period? b. What is the geometric average return over the 10-year period? c. If you invested $100 at the beginning, how much would you have at the end?arrow_forwardASAP!! ANSWER A sample of 20 financial analysts was asked to provide forecasts of earnings per share of a corporation for next year. The results are summarized in the following table: Forecast ($ per share) Number of Analysts$9.95 to under $10.45 2$10.45 to under $10.95 8$10.95 to under $11.45 6$11.45 to under $11.95 3$11.95 to under $12.45 1 (i). Estimate the sample mean forecast.(ii). Estimate the sample Median. (iii) Estimate the sample Mode forecast. (iv) Estimate the sample Variance forecast. (v) Estimate the sample Standard Deviation forecast.arrow_forward
- 3. A Bloomberg Businessweek North American subscriber study collected data from a sample of 2861 sub-scribers. Fifty- nine percent of the respondents indicated an annual income of $ 75,000 or more, and 50% reported having an American Express credit card. a. What is the population of interest in this study? b. Is annual income a categorical or quantitative variable? c. Is ownership of an American Express card a categorical or quantitative variable? d. Does this study involve cross- sectional or time series data? e. Describe any statistical inferences Bloomberg Businessweek might make on the basis of the survey. 4. Table 1.8 shows a data set containing information for 25 of the shadow stocks tracked by the American Association of Individual Investors. Shadow stocks are common stocks of smaller companies that are not closely followed by Wall Street analysts. The data set is also on the website that accompanies the text in the file named Shadow02. a. How many variables are in the data set?…arrow_forward13arrow_forwardFind out the next month after april income by using the forecasting method of the moving average methodarrow_forward
- 4 According to sales information in the first quarter of 2016, 2.5% of new vehicles sold in the United States were hybrids. This is down from 2.8% for the same period a year earlier. An analyst's review of the data indicates that the reasons for the sales decline include the low price of gasoline and the higher price of a hybrid compared to similar vehicles. Let's assume these statistics remain the same for 2017. That is, 2.5 percent of new car sales are hybrids in the first quarter of 2017. For a sample of 35 vehicles sold in the Richmond, Virginia, area: a. How many vehicles would you expect to be hybrid? (Round your answer to 3 decimal places.) Expected veloe b. Use the Poisson distribution to find the probability that four of the sales were hybrid vehicles. (Round your answer to 4 decimal places.) Probebility c. Use the binomial distribution to find the probability that four of the sales were hybrid vehicles. (Round your answer to 4 decimel places.) Probebility Next 4 of 10arrow_forward2021 2020 2019 2018 2017 Sales $ 497,289 $ 327, 164 $ 267,073 $ 197, 102 $ 141,800 Cost of goods sold 251,145 165, 182 137, 037 99,651 70,900 Accounts receivable 23,969 19, 172 18,214 11,511 9,699 Compute trend percents for the above accounts, using 2017 as the base year.arrow_forwardA poll uses responses to several questions to calculate a "Happiness" index that measures overall happiness. An article included the happiness index for the 7 years between 2008 and 2016. Also included in the article were the percentages of people who responded "somewhat agree" or "strongly agree" to the following statements. Statement 1 (happy with life) 1: At this time, I'm generally happy with my life. Statement 2 (won't benefit): I won't get much benefit from the things that I do anytime soon. Year 2008 2009 2010 2011 2013 2015 2016 Happiness Index 32 34 34 36 32 35 30 Happy with Life Statement (percentage somewhat or strongly agree) 78 81 78 83 79 82 82 Won't Benefit Statement (percentage somewhat or strongly agree) 35 39 35 35 43 35 42 (a) Calculate the value of the correlation coefficient for Happiness index and the response to the Happy with life statement. (Round your answer to four decimal places.) (b) Calculate the value of the correlation coefficient for Happiness index and…arrow_forwardA poll uses responses to several questions to calculate a "Happiness" index that measures overall happiness. An article included the happiness index for the 7 years between 2008 and 2016. Also included in the article were the percentages of people who responded "somewhat agree" or "strongly agree" to the following statements. Statement 1 (happy with life) 1: At this time, I'm generally happy with my life. Statement 2 (won't benefit): I won't get much benefit from the things that I do anytime soon. Year HappinessIndex Happy withLife Statement(percentagesomewhat orstrongly agree) Won't BenefitStatement(percentagesomewhat orstrongly agree) 2008 32 78 35 2009 34 81 39 2010 34 78 35 2011 34 81 37 2013 30 77 45 2015 31 78 39 2016 32 84 40 (a) Calculate the value of the correlation coefficient for Happiness index and the response to the Happy with life statement. (Round your answer to four decimal places.) (b) Calculate the value of the correlation coefficient…arrow_forwardA poll uses responses to several questions to calculate a "Happiness" index that measures overall happiness. An article included the happiness index for the 7 years between 2008 and 2016. Also included in the article were the percentages of people who responded "somewhat agree" or "strongly agree" to the following statements. Statement 1 (happy with life) 1: At this time, I'm generally happy with my life. Statement 2 (won't benefit): I won't get much benefit from the things that I do anytime soon. Year 2008 2009 2010 2011 2013 2015 2016 Happiness Index 32 36 34 34 32 35 30 Happy with Life Statement (percentage somewhat or strongly agree) 78 83 78 81 79 82 82 Won't Benefit Statement (percentage somewhat or strongly agree) 35 37 35 37 43 35 42 (a) Calculate the value of the correlation coefficient for Happiness index and the response to the Happy with life statement. (Round your answer to four decimal places.) (b) Calculate the value of the correlation coefficient for Happiness index and…arrow_forwardA poll uses responses to several questions to calculate a "Happiness" index that measures overall happiness. An article included the happiness index for the 7 years between 2008 and 2016. Also included in the article were the percentages of people who responded "somewhat agree" or "strongly agree" to the following statements. Statement 1 (happy with life) 1: At this time, I'm generally happy with my life. Statement 2 (won't benefit): I won't get much benefit from the things that I do anytime soon. Year 2008 2009 2010 2011 2013 2015 2016 Happiness Index 34 32 36 32 34 33 34 Happy with Life Statement (percentage somewhat or strongly agree) 80 79 80 79 81 80 86 Won't Benefit Statement (percentage somewhat or strongly agree) 33 41 33 39 41 37 38 (a) Calculate the value of the correlation coefficient for Happiness index and the response to the Happy with life statement. (Round your answer to four decimal places.) (b) Calculate the value of the correlation coefficient for Happiness index and…arrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_ios
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill
Glencoe Algebra 1, Student Edition, 9780079039897...
Algebra
ISBN:9780079039897
Author:Carter
Publisher:McGraw Hill
Hypothesis Testing using Confidence Interval Approach; Author: BUM2413 Applied Statistics UMP;https://www.youtube.com/watch?v=Hq1l3e9pLyY;License: Standard YouTube License, CC-BY
Hypothesis Testing - Difference of Two Means - Student's -Distribution & Normal Distribution; Author: The Organic Chemistry Tutor;https://www.youtube.com/watch?v=UcZwyzwWU7o;License: Standard Youtube License